A) 126
B) 220
C) 280
D) 144
Correct Answer: B
Solution :
\[A=\{1,\,\,2,\,\,3,\,\,4,\,\,5,\,\,6\}\Rightarrow n(A)=6\] \[B=\{1,\,\,2\}\Rightarrow n(B)=2\] \[\therefore \]\[A\cap B=\{1,\,\,2\}\Rightarrow n(A\cap B)=2\] So, number of elements \[A\times (A\cap B)=12\] \[\therefore \]Number of subsets containing 3 elements \[{{=}^{12}}{{C}_{3}}=220\]You need to login to perform this action.
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